What is the Least Common Multiple of 95920 and 95925?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95920 and 95925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95920 and 95925, than apply into the LCM equation.

GCF(95920,95925) = 5
LCM(95920,95925) = ( 95920 × 95925) / 5
LCM(95920,95925) = 9201126000 / 5
LCM(95920,95925) = 1840225200

Least Common Multiple (LCM) of 95920 and 95925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95920 and 95925. First we will calculate the prime factors of 95920 and 95925.

Prime Factorization of 95920

Prime Factorization of 95925

Now multiplying the highest exponent prime factors to calculate the LCM of 95920 and 95925.

LCM(95920,95925) = 2⁴ × 5² × 11¹ × 109¹ × 3¹ × 1279¹
LCM(95920,95925) = 1840225200